What is 4.1625 percent of 850 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 850 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 850 is 100%, so we can write it down as 850=100%.
4. We know, that x is 4.1625% of the output value, so we can write it down as x=4.1625%.
5. Now we have two simple equations:
1) 850=100%
2) x=4.1625%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
850/x=100%/4.1625%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 4.1625% of 850

850/x=100/4.1625
(850/x)*x=(100/4.1625)*x       - we multiply both sides of the equation by x
850=24.024024024024*x       - we divide both sides of the equation by (24.024024024024) to get x
850/24.024024024024=x
35.38125=x
x=35.38125

now we have:
4.1625% of 850=35.38125